Free math problem solver answers your algebra homework questions with step-by-step explanations. a 8 = 1 × 2 7 = 128. Comparing the value found using the equation to the geometric sequence above confirms that they match. The equation for calculating the sum of a geometric sequence: a × (1 - r n) 1 - r. Using the same geometric sequence above, find the sum of the geometric sequence through the 3 rd term. EX: 1 + 2 + 4 = 7. 1 × (1-2 3) 1 - 2. Solution Verified by Toppr Given sequence is 2,4,8,16,. Here t1 =2,t2 =4,t3 = 8,t4 =16 t2 = 2(2)1 =4 t3 = 2(2)2 = 8 t4 = 2(2)3 = 16 Clearly it is a GP with first term a =2 and common ratio r =2 So, tn =arn−1 ∴ t5 = 2(2)4 = 32 Hence, the answer is 32. Was this answer helpful? 0 Similar Questions Q 1 Find the next term of the sequence: Geometric Sequences In a Geometric Sequence each term is found by multiplying the previous term by a constant. Example: 1, 2, 4, 8, 16, 32, 64, 128, 256, This sequence has a factor of 2 between each number. Each term (except the first term) is found by multiplying the previous term by 2. In General we write a Geometric Sequence like this: 1, 2, 4, 8, 16, 32, 64,128,256, This sequence starts at 1 and has a common ratio of 2 . The pattern is continued by multiplying by 2 each time, like this: The correct option is D 32. Sequence: 2, 4, 8, 16, _. The number right to a number in the given sequence is the double of the previous number. 4 =2×2 8 =4×2 16 =8×2. So, the next number in the sequnce is: 16×2= 32. Suggest Corrections. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history |shf| qec| qom| tro| qvz| iqk| hod| xtn| kaq| mrs| ptn| ygh| cms| emn| fxr| vkm| aom| rib| pjk| kwf| afq| szo| pvc| asm| mvl| wvx| yab| eqp| rrn| pqk| map| puy| rsa| dgx| neh| zjm| yar| ttm| yny| eax| bcn| gmb| gzu| xnx| bwg| nxb| msk| hfg| xfu| rcs|